What is factor 2x^2+x-36 ?

The solution to factor 2x^2+x-36 is (x-4)(2x+9)

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factor 2x^2+x-36

factor

2 x^{2} + x - 36

(x - 4) (2 x + 9)

Solution steps

2 x^{2} + x - 36

Break the expression into groups

= (2 x^{2} - 8 x) + (9 x - 36)

Factor out

2 x

from

2 x^{2} - 8 x : 2 x (x - 4)

Factor out

9

from

9 x - 36 : 9 (x - 4)

= 2 x (x - 4) + 9 (x - 4)

Factor out common term

x - 4

= (x - 4) (2 x + 9)

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